Answer:
Where, x ≥ 0
Step-by-step explanation:
Given,
The rectangular picture has,
Length = 6 inches,
Width = 8 inches,
Suppose x be the width( in inch ) of the piece of wooden,
After joining the piece,
New length = 6 + 2x ,
New width = 8 + 2x
So, the area of the final figure,
According to the question,
V ≤ 100 inch²
But, width can not be negative,
i.e. x ≥ 0
Answer:
The measure of ∠G is 59°
Step-by-step explanation:
<em>When </em><em>two secants</em><em>, intersect at </em><em>a point outside a circle</em><em> then the </em><em>measure of the angle formed between them</em><em> is </em><em>one-half the positive difference of the measures of the intercepted arcs.</em>
<em></em>
In the given figure
∵ GT is a secant that intersects the circle at points H and T
∵ GE is a secant that intersects the circle at points F and E
∴ The intercepted arcs are HF and TE
∵ GT ∩ GE at G
∵ Point G is outside the circle
→ By using the rule above
∴ m∠G = (m arc TE - m arc HF)
∵ m arc TE = 175°
∵ m arc HF = 57°
→ Substitute them in the rule above
∵ m∠G = (175 - 57) = (118)
∴ m∠G = 59
∴ The measure of ∠G is 59°
Answer:
10.3 in
Step-by-step explanation:
a = (1/2)b*h
53 = (1/2)x * x
53 = (1/2)x²
Multiply both sides by 2
106 = x²
Take the square root of both sides
x = 10.3